Find the volume of the cylinder. in cubic millimeters. Round your answer to the nearest hundredth. The height is 13 mm and the radius is 9 mm

1 answer

To find the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where:

  • \( V \) is the volume,
  • \( r \) is the radius, and
  • \( h \) is the height.

Given:

  • Height \( h = 13 \) mm
  • Radius \( r = 9 \) mm

Substituting the values into the formula:

\[ V = \pi (9^2)(13) \]

Calculating \( 9^2 \):

\[ 9^2 = 81 \]

Now, substituting:

\[ V = \pi (81)(13) \] \[ V = \pi (1053) \] \[ V \approx 3.14159 \times 1053 \] \[ V \approx 3305.6757 \]

Rounding to the nearest hundredth:

\[ V \approx 3305.68 , \text{cubic millimeters} \]

Thus, the volume of the cylinder is approximately 3305.68 cubic millimeters.